A general theory of Fountain-Gould quotient rings

Pham Ngoc Ánh; László Márki

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We consider rings equipped with a closure operation defined in terms of a collection of commuting idempotents, generalising the idea of a topological closure operation defined on a ring of sets. We establish the basic properties of such rings, consider examples and construction methods, and then concentrate on rings which have a closure operation defined in terms of their lattice of central idempotents.

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On the structure of the $G L_{2}$ of a ring

Paul M. Cohn (1966)

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Displaying similar documents to “A general theory of Fountain-Gould quotient rings”

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Simple $(n, n + l)$ -alternative rings